Higher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to duality

作者：Nguyen Le Hoang Anh^*

来源：Positivity, 2014, 18(3): 449-473.

DOI：10.1007/s11117-013-0254-4

• Studniarski derivatives
• Optimality conditions
• Set-valued optimization problem
• Efficiency
• Generalized subconvexlike
• Duality

In this paper, we introduce upper and lower Studniarski derivatives of set-valued maps. By virtue of these derivatives, higher-order necessary and sufficient optimality conditions are obtained for several kinds of minimizers of a set-valued optimization problem. Then, applications to duality are given. Some remarks on several existent results and examples are provided to illustrate our results.

• 出版日期2014-9